A level set solution to the stress-based structural shape and topology optimization

► We present a level set solution to stress-based shape and topology optimization. ► A novel global measure of stress is proposed. ► Shape sensitivity analysis is performed via the material derivative method. ► Artificial weak material usually used in level set method to mimic void is avoided. ► Pea...

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Published in	Computers & structures Vol. 90-91; pp. 55 - 64
Main Authors	Xia, Qi, Shi, Tielin, Liu, Shiyuan, Wang, Michael Yu
Format	Journal Article
Language	English
Published	Kidlington Elsevier Ltd 01.01.2012 Elsevier
Subjects	Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Level set method Mathematical analysis Mathematical models Optimization Physics Shape and topology optimization Solid mechanics Static elasticity (thermoelasticity...) Stress Stresses Structural and continuum mechanics Structural shapes Topology optimization Voids Shape and topology optimization Level set method Stress Finite element method Geometrical shape Cavity Contour line Topology Modeling Optimization Structural analysis
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Abstract	► We present a level set solution to stress-based shape and topology optimization. ► A novel global measure of stress is proposed. ► Shape sensitivity analysis is performed via the material derivative method. ► Artificial weak material usually used in level set method to mimic void is avoided. ► Peak stress can be effectively controlled. We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.
AbstractList	► We present a level set solution to stress-based shape and topology optimization. ► A novel global measure of stress is proposed. ► Shape sensitivity analysis is performed via the material derivative method. ► Artificial weak material usually used in level set method to mimic void is avoided. ► Peak stress can be effectively controlled. We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work. We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume. In order to solve this optimization problem, the level set method is employed. The finite element analysis is accomplished by modifying a fixed background mesh, and the artificial weak material that is conventionally used in the level set method to mimic void is avoided in the present work.
Author	Xia, Qi Liu, Shiyuan Wang, Michael Yu Shi, Tielin
Author_xml	– sequence: 1 givenname: Qi surname: Xia fullname: Xia, Qi organization: The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China – sequence: 2 givenname: Tielin surname: Shi fullname: Shi, Tielin organization: The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China – sequence: 3 givenname: Shiyuan surname: Liu fullname: Liu, Shiyuan organization: The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China – sequence: 4 givenname: Michael Yu surname: Wang fullname: Wang, Michael Yu email: yuwang@mae.cuhk.edu.hk organization: Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
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Cites_doi	10.1016/j.jcp.2003.09.032 10.1016/0045-7949(86)90307-X 10.1016/j.enganabound.2007.05.007 10.1016/j.jcp.2003.09.033 10.1016/0045-7825(86)90072-1 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 10.1007/s001580050100 10.1051/ijsmdo/2008034 10.1007/s00158-009-0444-7 10.1007/BF01742707 10.1016/j.jcp.2007.01.003 10.1002/nme.241 10.1007/s00158-003-0301-z 10.1007/s00158-005-0518-0 10.1006/jcph.2001.6789 10.1007/s00158-004-0442-8 10.1007/s00158-006-0091-1 10.1007/s00466-008-0287-x 10.1007/s00158-007-0118-2 10.1007/s00158-003-0363-y 10.1137/S0363012997323230 10.1016/0045-7825(88)90086-2 10.1243/03093247V102063 10.1002/nme.2138 10.1007/s00158-009-0440-y 10.1006/jcph.2000.6636 10.1007/s00158-009-0425-x 10.1007/BF01196941 10.1016/S0045-7825(02)00559-5 10.1016/j.cma.2010.03.010 10.1080/03052159208941276 10.1007/s00158-007-0203-6 10.1007/s00158-006-0061-7 10.1006/jcph.2000.6581 10.1007/s001580050181 10.1007/s00158-008-0336-2 10.1007/1-4020-4752-5_1 10.1006/jcph.1999.6345 10.1016/0045-7825(84)90132-4 10.1016/j.advengsoft.2004.06.004 10.1007/BF01650949 10.1007/BF01197454
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Keywords	Shape and topology optimization Level set method Stress Finite element method Geometrical shape Cavity Contour line Topology Modeling Optimization Structural analysis
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References	Poon, Martins (b0100) 2007; 34 Kirsch (b0130) 1990; 2 Xia, Shi, Wang, Liu (b0210) 2010; 41 Osher, Santosa (b0110) 2001; 171 Cheng, Guo (b0150) 1997; 13 Haug, Choi, Komkov (b0165) 1986 Nocedal, Wright (b0170) 1999 Wang, Wang, Guo (b0175) 2004; 27 Rozvany (b0145) 2001; 21 Sethian, Wiegmann (b0105) 2000; 163 Francavilla, Ramakrishnan, Zienkiewicz (b0010) 1975; 10 Allaire G, Jouve F. Coupling the level set method and the topological gradient in structural optimization. In: Bendsøe MP, Olhoff N, Sigmund O, (Eds.). Topological design optimization of structures, machines and materials, vol. 137, 2006. p. 3–12. Svanberg, Werme (b0075) 2007; 34 Parı´s, Navarrina, Colominas, Casteleiro (b0060) 2009; 39 Peng, Merriman, Osher, Zhao, Kang (b0225) 1999; 155 Pereira, Fancello, Barcellos (b0050) 2004; 26 Cheng, Jiang (b0135) 1992; 20 Bendsøe (b0030) 1989; 1 Parı´s, Navarrina, Colominas, Casteleiro (b0065) 2010; 199 Choi, Kim (b0160) 2005 Bruggi (b0155) 2008; 36 Miegroet, Duysinx (b0095) 2007; 33 Bruggi, Venini (b0055) 2008; 73 Braibant, Fleury (b0230) 1984; 44 Mei, Wang (b0180) 2004; 35 Zienkiewicz, Campbell (b0005) 1973 Pedersen (b0245) 2000; 19 Le, Norato, Bruns, Ha, Tortorelli (b0070) 2010; 41 Xia, Wang (b0185) 2008; 42 Wang, Wang, Guo (b0125) 2003; 192 Duysinx, Miegroet, Lemaire, Bruls, Bruyneel (b0250) 2008; 2 Sethian (b0215) 1999 Sokolowski, Zochowski (b0190) 1999; 37 Osher, Fedkiw (b0220) 2002 Li, Steven, Xie (b0080) 2001; 52 Allaire, Jouve, Toader (b0115) 2002; 334 Duysinx, Bendsøe (b0040) 1998; 43 Bendsøe, Kikuchi (b0025) 1988; 71 Yang, Chen (b0035) 1996; 12 Allaire, Jouve (b0090) 2008; 32 Allaire, Jouve, Maillot (b0045) 2004; 28 Amstutz, Novotny (b0085) 2010; 41 Rozvany, Birker (b0140) 1994; 8 Ding (b0015) 1986; 24 Haftka, Grandhi (b0235) 1986; 57 Burger, Hackl, Ring (b0200) 2004; 194 Allaire, Jouve, Toader (b0120) 2004; 194 He, Kao, Osher (b0205) 2007; 225 Osher, Fedkiw (b0240) 2001; 169 Meske, Sauter, Schnack (b0020) 2005; 30 Osher (10.1016/j.compstruc.2011.10.009_b0220) 2002 Duysinx (10.1016/j.compstruc.2011.10.009_b0250) 2008; 2 Zienkiewicz (10.1016/j.compstruc.2011.10.009_b0005) 1973 Miegroet (10.1016/j.compstruc.2011.10.009_b0095) 2007; 33 Choi (10.1016/j.compstruc.2011.10.009_b0160) 2005 Osher (10.1016/j.compstruc.2011.10.009_b0110) 2001; 171 Duysinx (10.1016/j.compstruc.2011.10.009_b0040) 1998; 43 Ding (10.1016/j.compstruc.2011.10.009_b0015) 1986; 24 Parı´s (10.1016/j.compstruc.2011.10.009_b0065) 2010; 199 Bruggi (10.1016/j.compstruc.2011.10.009_b0055) 2008; 73 Wang (10.1016/j.compstruc.2011.10.009_b0125) 2003; 192 Li (10.1016/j.compstruc.2011.10.009_b0080) 2001; 52 Cheng (10.1016/j.compstruc.2011.10.009_b0135) 1992; 20 Francavilla (10.1016/j.compstruc.2011.10.009_b0010) 1975; 10 Bruggi (10.1016/j.compstruc.2011.10.009_b0155) 2008; 36 Poon (10.1016/j.compstruc.2011.10.009_b0100) 2007; 34 Allaire (10.1016/j.compstruc.2011.10.009_b0045) 2004; 28 Xia (10.1016/j.compstruc.2011.10.009_b0185) 2008; 42 Xia (10.1016/j.compstruc.2011.10.009_b0210) 2010; 41 Parı´s (10.1016/j.compstruc.2011.10.009_b0060) 2009; 39 Braibant (10.1016/j.compstruc.2011.10.009_b0230) 1984; 44 Yang (10.1016/j.compstruc.2011.10.009_b0035) 1996; 12 Rozvany (10.1016/j.compstruc.2011.10.009_b0140) 1994; 8 Kirsch (10.1016/j.compstruc.2011.10.009_b0130) 1990; 2 Haug (10.1016/j.compstruc.2011.10.009_b0165) 1986 Mei (10.1016/j.compstruc.2011.10.009_b0180) 2004; 35 Bendsøe (10.1016/j.compstruc.2011.10.009_b0025) 1988; 71 Haftka (10.1016/j.compstruc.2011.10.009_b0235) 1986; 57 Amstutz (10.1016/j.compstruc.2011.10.009_b0085) 2010; 41 Le (10.1016/j.compstruc.2011.10.009_b0070) 2010; 41 Cheng (10.1016/j.compstruc.2011.10.009_b0150) 1997; 13 Meske (10.1016/j.compstruc.2011.10.009_b0020) 2005; 30 Svanberg (10.1016/j.compstruc.2011.10.009_b0075) 2007; 34 Pedersen (10.1016/j.compstruc.2011.10.009_b0245) 2000; 19 Pereira (10.1016/j.compstruc.2011.10.009_b0050) 2004; 26 He (10.1016/j.compstruc.2011.10.009_b0205) 2007; 225 Bendsøe (10.1016/j.compstruc.2011.10.009_b0030) 1989; 1 Sokolowski (10.1016/j.compstruc.2011.10.009_b0190) 1999; 37 Allaire (10.1016/j.compstruc.2011.10.009_b0120) 2004; 194 Sethian (10.1016/j.compstruc.2011.10.009_b0105) 2000; 163 Allaire (10.1016/j.compstruc.2011.10.009_b0115) 2002; 334 Burger (10.1016/j.compstruc.2011.10.009_b0200) 2004; 194 Wang (10.1016/j.compstruc.2011.10.009_b0175) 2004; 27 Allaire (10.1016/j.compstruc.2011.10.009_b0090) 2008; 32 Nocedal (10.1016/j.compstruc.2011.10.009_b0170) 1999 Sethian (10.1016/j.compstruc.2011.10.009_b0215) 1999 Peng (10.1016/j.compstruc.2011.10.009_b0225) 1999; 155 Rozvany (10.1016/j.compstruc.2011.10.009_b0145) 2001; 21 10.1016/j.compstruc.2011.10.009_b0195 Osher (10.1016/j.compstruc.2011.10.009_b0240) 2001; 169
References_xml	– volume: 20 start-page: 129 year: 1992 end-page: 148 ident: b0135 article-title: Study on topology optimization with stress constraints publication-title: Eng Optim – volume: 225 start-page: 891 year: 2007 end-page: 909 ident: b0205 article-title: Incorporating topological derivatives into shape derivative based level set methods publication-title: J Comput Phys – volume: 199 start-page: 2110 year: 2010 end-page: 2122 ident: b0065 article-title: Stress constraints sensitivity analysis in structural topology optimization publication-title: Comput Methods Appl Mech Eng – volume: 44 start-page: 247 year: 1984 end-page: 267 ident: b0230 article-title: Shape optimal design using publication-title: Comput Methods Appl Mech Eng – year: 1986 ident: b0165 article-title: Design sensitivity analysis of structural systems – reference: Allaire G, Jouve F. Coupling the level set method and the topological gradient in structural optimization. In: Bendsøe MP, Olhoff N, Sigmund O, (Eds.). Topological design optimization of structures, machines and materials, vol. 137, 2006. p. 3–12. – volume: 30 start-page: 201 year: 2005 end-page: 218 ident: b0020 article-title: Nonparametric gradient-less shape optimization for real-world applications publication-title: Struct Multidiscip Optim – volume: 27 start-page: 1 year: 2004 end-page: 19 ident: b0175 article-title: Structural shape and topology optimization in a level-set framework of region representation publication-title: Struct Multidiscip Optim – volume: 39 start-page: 419 year: 2009 end-page: 437 ident: b0060 article-title: Topology optimization of continuum structures with local and global stress constraints publication-title: Struct Multidiscip Optim – volume: 37 start-page: 1251 year: 1999 end-page: 1272 ident: b0190 article-title: On the topological derivative in shape optimization publication-title: SIAM J Control Optim – volume: 171 start-page: 272 year: 2001 end-page: 288 ident: b0110 article-title: Level-set methods for optimization problems involving geometry and constraints: frequencies of a two-density inhomogeneous drum publication-title: J Comput Phys – volume: 32 start-page: 909 year: 2008 end-page: 918 ident: b0090 article-title: Minimum stress optimal design with the level set method publication-title: Eng Anal Bound Elem – volume: 2 start-page: 253 year: 2008 end-page: 258 ident: b0250 article-title: Topology and generalized shape optimization: why stress constraints are so important? publication-title: Int J Simul Multidiscip Des Optim – volume: 57 start-page: 517 year: 1986 end-page: 522 ident: b0235 article-title: Structural shape optimization—a survey publication-title: Comput Methods Appl Mech Eng – volume: 35 start-page: 415 year: 2004 end-page: 441 ident: b0180 article-title: A level set method for structural topology optimization and its applications publication-title: Adv Eng Softw – volume: 192 start-page: 227 year: 2003 end-page: 246 ident: b0125 article-title: A level set method for structural topology optimization publication-title: Comput Methods Appl Mech Eng – volume: 42 start-page: 837 year: 2008 end-page: 857 ident: b0185 article-title: Topology optimization of thermoelastic structures using level set method publication-title: Comput Mech – volume: 13 start-page: 258 year: 1997 end-page: 266 ident: b0150 article-title: -relaxed approach in structural topology optimization publication-title: Struct Optim – volume: 34 start-page: 61 year: 2007 end-page: 73 ident: b0100 article-title: An adaptive approach to constraint aggregation using adjoint sensitivity analysis publication-title: Struct Multidiscip Optim – volume: 41 start-page: 407 year: 2010 end-page: 420 ident: b0085 article-title: Topological optimization of structures subject to von mises stress constraints publication-title: Struct Multidiscip Optim – volume: 73 start-page: 1693 year: 2008 end-page: 1714 ident: b0055 article-title: A mixed FEM approach to stress-constrained topology optimization publication-title: Int J Numer Methods Eng – volume: 163 start-page: 489 year: 2000 end-page: 528 ident: b0105 article-title: Structural boundary design via level set and immersed interface methods publication-title: J Comput Phys – volume: 194 start-page: 344 year: 2004 end-page: 362 ident: b0200 article-title: Incorporating topological derivatives into level set methods publication-title: J Comput Phys – volume: 194 start-page: 363 year: 2004 end-page: 393 ident: b0120 article-title: Structural optimization using sensitivity analysis and a level-set method publication-title: J Comput Phys – volume: 19 start-page: 169 year: 2000 end-page: 182 ident: b0245 article-title: On optimal shapes in materials and structures publication-title: Struct Multidiscip Optim – volume: 8 start-page: 228 year: 1994 end-page: 235 ident: b0140 article-title: On singular topologies in exact layout optimization publication-title: Struct Optim – year: 1999 ident: b0215 article-title: Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science, cambridge monographs on applied and computational mathematics – volume: 2 start-page: 133 year: 1990 end-page: 142 ident: b0130 article-title: On singular topologies in optimum structural design publication-title: Comput Methods Appl Mech Eng – year: 2005 ident: b0160 article-title: Structural sensitivity analysis and optimization – volume: 21 start-page: 164 year: 2001 end-page: 172 ident: b0145 article-title: On design-dependent constraints and singular topologies publication-title: Struct Multidiscip Optim – volume: 334 start-page: 1 year: 2002 end-page: 6 ident: b0115 article-title: A level-set method for shape optimization publication-title: CR Acad Sci Paris Ser I – volume: 169 start-page: 463 year: 2001 end-page: 502 ident: b0240 article-title: Level set methods: an overview and some recent results publication-title: J Comput Phys – volume: 12 start-page: 98 year: 1996 end-page: 105 ident: b0035 article-title: Stress-based topology optimization publication-title: Struct Optim – year: 1999 ident: b0170 article-title: Numerical optimization – volume: 28 start-page: 87 year: 2004 end-page: 98 ident: b0045 article-title: Topology optimization for minimum stress design with the homogenization method publication-title: Struct Multidiscip Optim – volume: 10 start-page: 63 year: 1975 end-page: 70 ident: b0010 article-title: Optimization of shape to minimize stress concentration publication-title: J Strain Anal – volume: 71 start-page: 197 year: 1988 end-page: 224 ident: b0025 article-title: Generating optimal topologies in structural design using a homogenization method publication-title: Comput Methods Appl Mech Eng – volume: 43 start-page: 1453 year: 1998 end-page: 1478 ident: b0040 article-title: Topology optimization of continuum structures with local stress constraints publication-title: Int J Numer Methods Eng – volume: 155 start-page: 410 year: 1999 end-page: 438 ident: b0225 article-title: A PDE-based fast local level set method publication-title: J Comput Phys – volume: 41 start-page: 735 year: 2010 end-page: 747 ident: b0210 article-title: A level set based method for the optimization of cast part publication-title: Struct Multidiscip Optim – volume: 1 start-page: 193 year: 1989 end-page: 202 ident: b0030 article-title: Optimal shape design as a material distribution problem publication-title: Struct Optim – volume: 26 start-page: 50 year: 2004 end-page: 66 ident: b0050 article-title: Topology optimization of continuum structures with material failure constraints publication-title: Struct Multidiscip Optim – volume: 33 start-page: 425 year: 2007 end-page: 438 ident: b0095 article-title: Stress concentration minimization of 2D filets using X-FEM and level set description publication-title: Struct Multidiscip Optim – year: 2002 ident: b0220 article-title: Level set methods and dynamic implicit surfaces – volume: 24 start-page: 984 year: 1986 end-page: 1004 ident: b0015 article-title: Shape optimization of structures: a literature survey publication-title: Comput Struct – volume: 52 start-page: 979 year: 2001 end-page: 995 ident: b0080 article-title: Evolutionary thickness design with stiffness maximization and stress minimization criteria publication-title: Int J Numer Methods Eng – volume: 34 start-page: 277C299 year: 2007 ident: b0075 article-title: Sequential integer programming methods for stress constrained topology optimization publication-title: Struct Multidiscip Optim – start-page: 109 year: 1973 end-page: 126 ident: b0005 article-title: Shape optimization and sequential linear programming publication-title: Optimum structural design: theory and applications – volume: 41 start-page: 605 year: 2010 end-page: 620 ident: b0070 article-title: Stress-based topology optimization for continua publication-title: Struct Multidiscip Optim – volume: 36 start-page: 125 year: 2008 end-page: 141 ident: b0155 article-title: On an alternative approach to stress constraints relaxation in topology optimization publication-title: Struct Multidiscip Optim – year: 1999 ident: 10.1016/j.compstruc.2011.10.009_b0170 – volume: 194 start-page: 363 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0120 article-title: Structural optimization using sensitivity analysis and a level-set method publication-title: J Comput Phys doi: 10.1016/j.jcp.2003.09.032 – volume: 24 start-page: 984 year: 1986 ident: 10.1016/j.compstruc.2011.10.009_b0015 article-title: Shape optimization of structures: a literature survey publication-title: Comput Struct doi: 10.1016/0045-7949(86)90307-X – volume: 32 start-page: 909 year: 2008 ident: 10.1016/j.compstruc.2011.10.009_b0090 article-title: Minimum stress optimal design with the level set method publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2007.05.007 – volume: 194 start-page: 344 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0200 article-title: Incorporating topological derivatives into level set methods publication-title: J Comput Phys doi: 10.1016/j.jcp.2003.09.033 – volume: 57 start-page: 517 year: 1986 ident: 10.1016/j.compstruc.2011.10.009_b0235 article-title: Structural shape optimization—a survey publication-title: Comput Methods Appl Mech Eng doi: 10.1016/0045-7825(86)90072-1 – volume: 43 start-page: 1453 year: 1998 ident: 10.1016/j.compstruc.2011.10.009_b0040 article-title: Topology optimization of continuum structures with local stress constraints publication-title: Int J Numer Methods Eng doi: 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 – year: 2005 ident: 10.1016/j.compstruc.2011.10.009_b0160 – volume: 19 start-page: 169 year: 2000 ident: 10.1016/j.compstruc.2011.10.009_b0245 article-title: On optimal shapes in materials and structures publication-title: Struct Multidiscip Optim doi: 10.1007/s001580050100 – volume: 2 start-page: 253 year: 2008 ident: 10.1016/j.compstruc.2011.10.009_b0250 article-title: Topology and generalized shape optimization: why stress constraints are so important? publication-title: Int J Simul Multidiscip Des Optim doi: 10.1051/ijsmdo/2008034 – start-page: 109 year: 1973 ident: 10.1016/j.compstruc.2011.10.009_b0005 article-title: Shape optimization and sequential linear programming – volume: 41 start-page: 735 year: 2010 ident: 10.1016/j.compstruc.2011.10.009_b0210 article-title: A level set based method for the optimization of cast part publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-009-0444-7 – volume: 8 start-page: 228 year: 1994 ident: 10.1016/j.compstruc.2011.10.009_b0140 article-title: On singular topologies in exact layout optimization publication-title: Struct Optim doi: 10.1007/BF01742707 – volume: 225 start-page: 891 year: 2007 ident: 10.1016/j.compstruc.2011.10.009_b0205 article-title: Incorporating topological derivatives into shape derivative based level set methods publication-title: J Comput Phys doi: 10.1016/j.jcp.2007.01.003 – volume: 52 start-page: 979 year: 2001 ident: 10.1016/j.compstruc.2011.10.009_b0080 article-title: Evolutionary thickness design with stiffness maximization and stress minimization criteria publication-title: Int J Numer Methods Eng doi: 10.1002/nme.241 – volume: 26 start-page: 50 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0050 article-title: Topology optimization of continuum structures with material failure constraints publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-003-0301-z – volume: 30 start-page: 201 year: 2005 ident: 10.1016/j.compstruc.2011.10.009_b0020 article-title: Nonparametric gradient-less shape optimization for real-world applications publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-005-0518-0 – volume: 171 start-page: 272 year: 2001 ident: 10.1016/j.compstruc.2011.10.009_b0110 article-title: Level-set methods for optimization problems involving geometry and constraints: frequencies of a two-density inhomogeneous drum publication-title: J Comput Phys doi: 10.1006/jcph.2001.6789 – volume: 2 start-page: 133 year: 1990 ident: 10.1016/j.compstruc.2011.10.009_b0130 article-title: On singular topologies in optimum structural design publication-title: Comput Methods Appl Mech Eng – volume: 28 start-page: 87 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0045 article-title: Topology optimization for minimum stress design with the homogenization method publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-004-0442-8 – volume: 33 start-page: 425 year: 2007 ident: 10.1016/j.compstruc.2011.10.009_b0095 article-title: Stress concentration minimization of 2D filets using X-FEM and level set description publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-006-0091-1 – volume: 42 start-page: 837 year: 2008 ident: 10.1016/j.compstruc.2011.10.009_b0185 article-title: Topology optimization of thermoelastic structures using level set method publication-title: Comput Mech doi: 10.1007/s00466-008-0287-x – volume: 34 start-page: 277C299 year: 2007 ident: 10.1016/j.compstruc.2011.10.009_b0075 article-title: Sequential integer programming methods for stress constrained topology optimization publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-007-0118-2 – volume: 27 start-page: 1 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0175 article-title: Structural shape and topology optimization in a level-set framework of region representation publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-003-0363-y – volume: 37 start-page: 1251 year: 1999 ident: 10.1016/j.compstruc.2011.10.009_b0190 article-title: On the topological derivative in shape optimization publication-title: SIAM J Control Optim doi: 10.1137/S0363012997323230 – volume: 71 start-page: 197 year: 1988 ident: 10.1016/j.compstruc.2011.10.009_b0025 article-title: Generating optimal topologies in structural design using a homogenization method publication-title: Comput Methods Appl Mech Eng doi: 10.1016/0045-7825(88)90086-2 – volume: 10 start-page: 63 year: 1975 ident: 10.1016/j.compstruc.2011.10.009_b0010 article-title: Optimization of shape to minimize stress concentration publication-title: J Strain Anal doi: 10.1243/03093247V102063 – volume: 73 start-page: 1693 year: 2008 ident: 10.1016/j.compstruc.2011.10.009_b0055 article-title: A mixed FEM approach to stress-constrained topology optimization publication-title: Int J Numer Methods Eng doi: 10.1002/nme.2138 – volume: 41 start-page: 605 year: 2010 ident: 10.1016/j.compstruc.2011.10.009_b0070 article-title: Stress-based topology optimization for continua publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-009-0440-y – year: 1999 ident: 10.1016/j.compstruc.2011.10.009_b0215 – volume: 169 start-page: 463 year: 2001 ident: 10.1016/j.compstruc.2011.10.009_b0240 article-title: Level set methods: an overview and some recent results publication-title: J Comput Phys doi: 10.1006/jcph.2000.6636 – volume: 41 start-page: 407 year: 2010 ident: 10.1016/j.compstruc.2011.10.009_b0085 article-title: Topological optimization of structures subject to von mises stress constraints publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-009-0425-x – volume: 12 start-page: 98 year: 1996 ident: 10.1016/j.compstruc.2011.10.009_b0035 article-title: Stress-based topology optimization publication-title: Struct Optim doi: 10.1007/BF01196941 – volume: 192 start-page: 227 year: 2003 ident: 10.1016/j.compstruc.2011.10.009_b0125 article-title: A level set method for structural topology optimization publication-title: Comput Methods Appl Mech Eng doi: 10.1016/S0045-7825(02)00559-5 – volume: 199 start-page: 2110 year: 2010 ident: 10.1016/j.compstruc.2011.10.009_b0065 article-title: Stress constraints sensitivity analysis in structural topology optimization publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2010.03.010 – year: 2002 ident: 10.1016/j.compstruc.2011.10.009_b0220 – volume: 334 start-page: 1 year: 2002 ident: 10.1016/j.compstruc.2011.10.009_b0115 article-title: A level-set method for shape optimization publication-title: CR Acad Sci Paris Ser I – volume: 20 start-page: 129 year: 1992 ident: 10.1016/j.compstruc.2011.10.009_b0135 article-title: Study on topology optimization with stress constraints publication-title: Eng Optim doi: 10.1080/03052159208941276 – volume: 36 start-page: 125 year: 2008 ident: 10.1016/j.compstruc.2011.10.009_b0155 article-title: On an alternative approach to stress constraints relaxation in topology optimization publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-007-0203-6 – volume: 34 start-page: 61 year: 2007 ident: 10.1016/j.compstruc.2011.10.009_b0100 article-title: An adaptive approach to constraint aggregation using adjoint sensitivity analysis publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-006-0061-7 – volume: 163 start-page: 489 year: 2000 ident: 10.1016/j.compstruc.2011.10.009_b0105 article-title: Structural boundary design via level set and immersed interface methods publication-title: J Comput Phys doi: 10.1006/jcph.2000.6581 – volume: 21 start-page: 164 year: 2001 ident: 10.1016/j.compstruc.2011.10.009_b0145 article-title: On design-dependent constraints and singular topologies publication-title: Struct Multidiscip Optim doi: 10.1007/s001580050181 – volume: 39 start-page: 419 year: 2009 ident: 10.1016/j.compstruc.2011.10.009_b0060 article-title: Topology optimization of continuum structures with local and global stress constraints publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-008-0336-2 – ident: 10.1016/j.compstruc.2011.10.009_b0195 doi: 10.1007/1-4020-4752-5_1 – year: 1986 ident: 10.1016/j.compstruc.2011.10.009_b0165 – volume: 155 start-page: 410 year: 1999 ident: 10.1016/j.compstruc.2011.10.009_b0225 article-title: A PDE-based fast local level set method publication-title: J Comput Phys doi: 10.1006/jcph.1999.6345 – volume: 44 start-page: 247 year: 1984 ident: 10.1016/j.compstruc.2011.10.009_b0230 article-title: Shape optimal design using B-splines publication-title: Comput Methods Appl Mech Eng doi: 10.1016/0045-7825(84)90132-4 – volume: 35 start-page: 415 year: 2004 ident: 10.1016/j.compstruc.2011.10.009_b0180 article-title: A level set method for structural topology optimization and its applications publication-title: Adv Eng Softw doi: 10.1016/j.advengsoft.2004.06.004 – volume: 1 start-page: 193 year: 1989 ident: 10.1016/j.compstruc.2011.10.009_b0030 article-title: Optimal shape design as a material distribution problem publication-title: Struct Optim doi: 10.1007/BF01650949 – volume: 13 start-page: 258 year: 1997 ident: 10.1016/j.compstruc.2011.10.009_b0150 article-title: ε-relaxed approach in structural topology optimization publication-title: Struct Optim doi: 10.1007/BF01197454
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Snippet	► We present a level set solution to stress-based shape and topology optimization. ► A novel global measure of stress is proposed. ► Shape sensitivity analysis... We present a level set solution to the stress-based structural shape and topology optimization. First, a novel global measure of stress is proposed, and the...
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SubjectTerms	Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Level set method Mathematical analysis Mathematical models Optimization Physics Shape and topology optimization Solid mechanics Static elasticity (thermoelasticity...) Stress Stresses Structural and continuum mechanics Structural shapes Topology optimization Voids
Title	A level set solution to the stress-based structural shape and topology optimization
URI	https://dx.doi.org/10.1016/j.compstruc.2011.10.009 https://www.proquest.com/docview/1671295923
Volume	90-91
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